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Finding the Third Proportional to 178,600 and 393,544

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Solution

The third proportional to 178,600 and 393,544 is: 867,171.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,600 : 393,544 = 393,544 : x
  2. Step 2: Convert to fraction form
    178,600/393,544 = 393,544/x
  3. Step 3: Cross multiply
    178,600x = 393,544 × 393,544
  4. Step 4: Simplify right side
    178,600x = 154,876,879,936
  5. Step 5: Solve for x
    x = 154,876,879,936/178,600
  6. Step 6: Final answer
    x = 867,171.78

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.